36201984 has 240 divisors, whose sum is σ = 124085808. Its totient is φ = 9289728.

The previous prime is 36201943. The next prime is 36201989. The reversal of 36201984 is 48910263.

It is a super-3 number, since 3×36201984³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36201989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 978414 + ... + 978450.

Almost surely, 2^36201984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62042904).

36201984 is an abundant number, since it is smaller than the sum of its proper divisors (87883824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36201984 is a wasteful number, since it uses less digits than its factorization.

36201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 36201984 is about 6016.8084563164. The cubic root of 36201984 is about 330.8091073223.

The spelling of 36201984 in words is "thirty-six million, two hundred one thousand, nine hundred eighty-four".